Question
Find the polynomial having roots at $ \dfrac{ 23 }{ 140 } $ and $ \dfrac{ 140 }{ 23 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 3220x^2-20129x+3220 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ \dfrac{ 23 }{ 140 } $ | $ 140x-23 $ |
| $ \dfrac{ 140 }{ 23 } $ | $ 23x-140 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 140x-23 \right) \cdot \left( 23x-140 \right) = 3220x^2-20129x+3220 $$This page was created using
Polynomial From Roots Calculator